scholarly journals Mathematical Methods in Biomedical Optics

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Macaveiu Gabriela
Keyword(s):  
Finite Element Method ◽  
Monte Carlo Simulation ◽  
Finite Element ◽  
Monte Carlo ◽  
Diffusion Approximation ◽  
Biomedical Optics ◽  
Light Transport ◽  
Mathematical Methods ◽  
First Order ◽  
Tissue Interactions

This paper presents a review of the phenomena regarding light-tissue interactions, especially absorption and scattering. The most important mathematical approaches for modeling the light transport in tissues and their domain of application: “first-order scattering,” “Kubelka-Munk theory,” “diffusion approximation,” “Monte Carlo simulation,” “inverse adding-doubling” and “finite element method” are briefly described.

scholarly journals Monte Carlo Simulation for Exploring Mechanical Properties of Porous Materials Based on Scaled Boundary Finite Element Method

2022 ◽  
Vol 12 (2) ◽  
pp. 575
Author(s):  
Guangying Liu ◽  
Ran Guo ◽  
Kuiyu Zhao ◽  
Runjie Wang
Keyword(s):  
Mechanical Properties ◽  
Finite Element Method ◽  
Monte Carlo Simulation ◽  
Finite Element ◽  
Monte Carlo ◽  
Porous Materials ◽  
Influencing Factors ◽  
Random Models ◽  
Scaled Boundary Finite Element ◽  
Element Method

The existence of pores is a very common feature of nature and of human life, but the existence of pores will alter the mechanical properties of the material. Therefore, it is very important to study the impact of different influencing factors on the mechanical properties of porous materials and to use the law of change in mechanical properties of porous materials for our daily lives. The SBFEM (scaled boundary finite element method) method is used in this paper to calculate a large number of random models of porous materials derived from Matlab code. Multiple influencing factors can be present in these random models. Based on the Monte Carlo simulation, after a large number of model calculations were carried out, the results of the calculations were analyzed statistically in order to determine the variation law of the mechanical properties of porous materials. Moreover, this paper gives fitting formulas for the mechanical properties of different materials. This is very useful for researchers estimating the mechanical properties of porous materials in advance.

Sensitivity Analysis on Solder Joint Fatigue Life of Solid State Drives by Finite Element Method and Monte Carlo Simulation

2017 ◽  
Author(s):  
Y. J. Cho ◽  
J. W. Jang ◽  
G. H. Jang
Keyword(s):  
Finite Element Method ◽  
Monte Carlo Simulation ◽  
Finite Element ◽  
Monte Carlo ◽  
Fatigue Life ◽  
Solid State ◽  
Thermal Cycling ◽  
Solder Ball ◽  
Solid State Drives ◽  
Element Method

We proposed a method to estimate a distribution of fatigue life of solid state drives (SSDs) due to thermal cycling excitation by using finite element method and Monte Carlo simulation. In the developed finite element model, we utilized the Anand model to represent the viscoplastic behavior of the solder balls, and we also utilized the Prony series to represent the viscoelastic behavior of the polymer material in underfill. We determined a fatigue life of the SSD by using the Morrow’s energy-based fatigue model. Finally, we determined a distribution of fatigue life considering the manufacturing tolerance of the design variables and the variation of material properties in the Monte Carlo simulation. Finite element analysis shows that the outermost solder ball at the corner of dynamic random access memory was the most vulnerable component under the thermal cycling excitation. We also show that temperature profile and diameter of solder ball affect dominantly the fatigue life of the SSD.

Design study on photoacoustic probe to detect prostate cancer using 3D Monte Carlo simulation and finite element method

2014 ◽  
Vol 4 (3) ◽  
pp. 250-257 ◽  
Author(s):  
Sherif Hamdy El-Gohary ◽  
Mohamed Kilany Metwally ◽  
Seyoung Eom ◽  
Seung Hyun Jeon ◽  
Kyung Min Byun ◽  
...  
Keyword(s):  
Prostate Cancer ◽  
Finite Element Method ◽  
Monte Carlo Simulation ◽  
Finite Element ◽  
Monte Carlo ◽  
Design Study ◽  
Detect Prostate Cancer ◽  
3D Monte Carlo ◽  
Element Method

scholarly journals Natural vibrations of a beam on stochastic two-layered subsoil with significantly different thickness

2014 ◽  
Vol 13 (2) ◽  
pp. 215-222
Author(s):  
Barbara Kaleta ◽  
Bartosz Różycki
Keyword(s):  
Finite Element Method ◽  
Monte Carlo Simulation ◽  
Finite Element ◽  
Monte Carlo ◽  
Young Modulus ◽  
Stochastic Approach ◽  
Natural Vibrations ◽  
Stochastic Correlation ◽  
Simulation Techniques ◽  
Different Thickness

In this paper the influence of variability of Young modulus of the subsoil layers on the natural frequency of the beam-two-layered subsoil system was analyzed. Assuming the first layer was thinner and more rigid then the second one (10 and 20 times). The calculations were made by using deterministic and stochastic approach. In the stochastic approach, the spatial correlation of Young modulus of the subsoil along the length of both layers was taken into account. Two cases of the correlation were considered, i.e. without and with full correlation. Regarding the results of the authors’ research which were published in the previous article, in the calculations the full stochastic correlation of Young modulus of subsoil between both layers was taken into account. In order to solve the stochastic eigenvalue problem, Monte Carlo simulation techniques with Finite Element Method (FEM) were used. The present analysis is a continuation research demonstrated in the authors’ previous papers.  

Sign in / Sign up

Export Citation Format

Share Document